This is a UX request.
When creating a booking at the end of the month, I have seen multiple times that there was no date / time available. Only to notice I first have to navigate to the next month to see times available:
Landing on booking page, I see this calender:
First have to click ">" to see available options.
Preferably, the next month would've already been selected, because there is no valid option in the current month. Although a small detail, it can make the experience better.